Electron. J. Diff. Eqns., Vol. 2002(2002), No. 15, pp. 1-27.

Compact attractors for a Stefan problem with kinetics

Michael L. Frankel & Victor Roytburd

We prove existence of a unique bounded classical solution for a one-phase free-boundary problem with kinetics for continuous initial conditions. The main result of this paper establishes existence of a compact attractor for classical solutions of the problem.

Submitted January 25, 2002. Published February 12, 2002.
Math Subject Classifications: 35R35, 74N20, 80A25.
Key Words: Stefan problem, compact attractors, kinetic condition.

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Michael L. Frankel
Department of Mathematical Sciences,
Indiana University - Purdue University
Indianapolis, Indianapolis, IN 45205 USA
Victor Roytburd
Department of Mathematical Sciences,
Rensselaer Polytechnic Institute,
Troy, NY 12180-3590 USA
e-mail: roytbv@rpi.edu

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